Three girls start jogging from the same point around a circular track and each one completes one round in 24s, 36s, and 48s respectively. After how much time will they meet at one pint
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# Answer- 144s.
# Solution-
To find when they neet at one point we'll calculate their lowest common multiple.
For numbers 24, 36 and 48 Lowest common multiple is 144.
Hence, All three girls will come at same point at 144s from the start.
That is when
1st girl completes her 6th round.
2nd girl completes her 4th round.
3rd girl completes her 3rd round.
# Solution-
To find when they neet at one point we'll calculate their lowest common multiple.
For numbers 24, 36 and 48 Lowest common multiple is 144.
Hence, All three girls will come at same point at 144s from the start.
That is when
1st girl completes her 6th round.
2nd girl completes her 4th round.
3rd girl completes her 3rd round.
Answered by
0
Answer:
144 seconds
Step-by-step explanation:
Find the prime factors:
24 = 2³ x 3
36 = 2² x 3²
48 = 2⁴ x 3
Find the LCM:
LCM = 2⁴ x 3²
LCM = 144
⇒ They will meet again after 144 seconds
Answer: They will meet again after 144 seconds since they started.
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